353756 ÷ 48 
We're looking to find how many times 48 goes into 353756.

Going ahead to step 1:
The number 48 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 48

Advancing to step 2:
The number 48 fits into 35 0 times, leaving a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 48

On to step 3:
353 divided by 48 is 7 with a remainder of 17.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 17 after subtracting 336 from 353.
Include the next digit (7) from the dividend after 17, then repeat: 177 / 48

Going ahead to step 4:
48 can be fit into 177 3 times, resulting in a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Deduct 144 from 177 and we're left with 33.
Take the next digit (5) from the dividend and append it to 33, then repeat: 335 / 48

Moving on to step 5:
If we divide 335 by 48, we get 6 and a remainder of 47.
Put 6 as the next digit of the answer. 
Result so far: 736.0
Deduct 288 from 335 and we're left with 47.
Take the next digit (6) from the dividend and append it to 47, then repeat: 476 / 48

On to step 6:
48 goes into 476 9 times with a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 7369.0
Subtract 432 from 476 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
When dividing 440 by 48, we get 9 with a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 7369.9
Deduct 432 from 440 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
When dividing 80 by 48, we get 1 with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 7369.91
If we take 48 away from 80, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 9:
When dividing 320 by 48, we get 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 7369.916
Subtracting 288 from 320 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 10:
If we divide 320 by 48, we get 6 and a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 7369.9166
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 7369.9166, and the remainder is 0.00032.